This awards supports the research of Professor D. Gieseker to work in algebraic geometry. Professor Gieseker will study the theory of isospectral deformations of difference operators and the theory of stable bundles on an algebraic surface. He intends to study the Toda lattice and the irreducibility of the moduli space of stable bundles. This research is in the field of algebraic geometry, one of the oldest parts of modern mathematics, but one which blossomed to the point where it has, in the past 10 years, solved problems that have stood for centuries. Originally, it treated figures defined in the plane by the simplest of equations, namely polynomials. Today, the field uses methods not only from algebra, but also from analysis and topology, and conversely it is extensively used in those fields. Moreover, it has proved itself useful in fields as diverse as physics, theoretical computer science, cryptography, coding theory and robotics.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9102047
Program Officer
William Y. Velez
Project Start
Project End
Budget Start
1991-08-01
Budget End
1994-07-31
Support Year
Fiscal Year
1991
Total Cost
$39,700
Indirect Cost
Name
University of California Los Angeles
Department
Type
DUNS #
City
Los Angeles
State
CA
Country
United States
Zip Code
90095